Nonlinear shell problem formulation accounting for through-the-thickness stretching and its finite element implementation

Computers and Structures

Volumn 80, Issue 9-10, 2002, Pages 699-717

  Brank, Boštjan ^a   Korelc, Jože ^a   IbrahimbegoviĆ, Adnan ^b  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Incompatible modes; Nonlinear shells; Thick shells; Thickness change

Indexed keywords

COMPUTATIONAL METHODS; DEFORMATION; FINITE ELEMENT METHOD; KINEMATICS; MATHEMATICAL MODELS; STRAIN; STRETCHING;

NONLINEAR SHELLS;

SHELLS (STRUCTURES);

EID: 0036544068     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(02)00042-1     Document Type: Article

References (33)

1. A new shell element accounting for through-thickness deformation
2. Shear deformation models for large-strain shell analysis
3. Composite laminates: Nonlinear interlaminar stress analysis by multi-layer shell elements
4. A four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation
5. An assumed strain approach avoiding artificial thickness straining for a non-linear 4-node shell element
6. A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
7. Shear deformable shell elements for large strains and rotations
8. On the physical significance of higher order kinematic and static variables in a three-dimensional shell formulation
9. On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells
10. On large deformations of thin elasto-plastic shells: Implementation of a finite rotation model for quadrilateral shell element
11. On the relation between different parametrizations of finite rotations for shells
12. Shell theory versus degeneration - A comparison in large rotation finite element analysis
13. Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept
14. A fully non-linear axisymmetrical quasi-Kirchhoff-type shell element for rubber-like materials
15. 'Solid-shell' elements with linear and quadratic shape functions at large deformations with nearly incompressible materials
16. A modified method of incompatible modes
17. Geometrically non-linear method of incompatible modes in application to finite elasticity with independent rotations
18. On assumed shear strain in finite rotation shell analysis
19. Stress resultant geometrically exact shell theory for finite rotations and its finite element implementation
20. Stress resultant geometrically exact form of classical shell model and vector-like parametrization of constrained finite rotations
21. A continuum based three-dimensional shell element for laminated structures
22. Automatic generation of finite element code by simultaneous optimization of expressions
23. Hybrid system for multi-language and multi-environment generation of numerical codes
24. "Best" transverse shearing and stretching shell theory for nonlinear finite element simulations
25. The theory of shells and plates
26. A continuum-based shell theory for non-linear applications
27. A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor
28. On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching
29. On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory
30. A class of mixed assumed strain methods and the method of incompatible modes
31. The patch test: A condition for assessing finite element convergence